Refer to Data Set 19 in Appendix B and construct a 95% confidence interval estimate of the difference between the mean weight of the cola in cans of regular Pepsi and the mean weight of cola in cans of Diet Pepsi. Does there appear to be a difference between those two means? If there is a difference in the mean weights, identify the most likely explanation for that difference.
Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal.